Asymptotic Approximation of Integrals

R. Wong

ISBN 10: 0898714974 / ISBN 13: 9780898714975

Published by Society For Industrial And Applied Mathematics (SIAM) Aug 2001, 2001

About this Item

Neuware - Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In this book, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, and references are provided. Asymptotic Approximations of Integrals contains the "distributional method," which is not available elsewhere. Most of the examples in this text come from concrete applications.Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as ''exponential asymptotics." Expositions of these new theories are available in papers published in various journals, but not yet in book form.

Seller Inventory # 9780898714975

Bibliographic Details

• Title: Asymptotic Approximation of Integrals
• Publisher: Society For Industrial And Applied Mathematics (SIAM) Aug 2001
• Publication Date: 2001
• Language: English
• ISBN 10: 0898714974
• ISBN 13: 9780898714975
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 228W x 152H x 29D millimeters 228 millimeters width by 152 millimeters height by 29 millimeters depth
• Weight: 776 grams

About this title

Synopsis

Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In this book, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, with references provided. Asymptotic Approximations of Integrals contains the 'distributional method', not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as 'exponential asymptotics'. Expositions of these new theories are available in papers published in various journals, but not yet in book form.

About the Author

Roderick S. C. Wong is a Professor of Mathematics and Dean of the Faculty of Science and Engineering at the City University of Hong Kong. The author of over 80 published papers and four edited books, Professor Wong currently serves on the editorial board of seven journals. He is the recipient of several prestigious honors, awards, and grants and is an honorary professor at three universities.